Question

Divide the polynomial f(x) =-3+5x-3 by the polynomial g(x) = x =-2 . also find the quotient and remainder​

Answer 1

Answer:

If we divide f(x)=3x

3

+x

2

+2x+5 by g(x) we get q(x)=(3x−5) as quotient and r(x)=(9x+10) as remainder.

By using division algorithm,

f(x)=g(x)q(x)+r(x)

⟹3x

3

+x

2

+2x+5=g(x)(3x−5)+(9x+10)

⟹g(x)=

(3x−5)

3x

3

+x

2

+2x+5−9x−10

⟹g(x)=

(3x−5)

3x

3

+x

2

−7x−5

Hence, g(x)=x

2

+2x+1

Answer 2

Step-by-step explanation:

f(x)=5x--6

g(x)=x+2

x+2)5x-6(5

5x+10

- -

_____

-16

___

quotient=5

remainder =-16